Add 36/80 and 75/56, Solve 36/80 + 1 19/56 as a fraction

Add 36/80 and 75/56

1^st number: 36/80, 2^nd number: 1 19/56

36/80 + 75/56 is 501/280.

Find the least common denominator or LCM of the two denominators:
LCM of 80 and 56 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 80 × 7 = 560,
36/80 = 36 × 7/80 × 7 = 252/560
Likewise, for the 2nd fraction, since 56 × 10 = 560,
75/56 = 75 × 10/56 × 10 = 750/560
Add the two like fractions:
252/560 + 750/560 = 252 + 750/560 = 1002/560
1002/560 simplified gives 501/280
So, 36/80 + 75/56 = 501/280
In mixed form: 1221/280

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